Can it find a derivative at a point?

Yes. Include the function and point. The response can derive the function first and then evaluate the requested input.

Can it help with partial derivatives?

Yes. State the differentiation variable and which variables should be treated as constants.

Does it provide an interactive derivative graph?

No interactive graph is promised. The solver can explain slope and rate-of-change interpretations in text.

Purpose-built solver page

Derivative Solver

Use this derivative solver to find and explain first, higher-order, partial, or point-specific derivatives. The page is built around the derivative result, its rules, and what that result means.

Type or upload a problemWorked explanationsNo sign-up required

Solve a problem now

derivative solver

f′(x)

First derivatives

Higher-order derivatives

Derivative at a point

derivative solver

Solve your derivative problem

Enter your derivative problem below. Add the variable, conditions, and method you want so the AI can return a more relevant worked response.

Text inputImage upload

Drop files to Attach, orbrowse

derivative solver

What this Derivative solver is designed for

The page is organized around the problem types people actually search for, while staying within the text-and-image solver's current capabilities.

First derivatives

Find the rate-of-change function and simplify it carefully.

Higher-order derivatives

Differentiate repeatedly to obtain second or later derivatives.

Derivative at a point

Find the derivative function first, then evaluate it at the requested input.

Partial derivatives

Hold the other variables constant and state the variable of differentiation.

Step

How to use the Derivative solver

A complete prompt usually produces a more useful explanation than an isolated expression.

1
Enter the function
f(x)
Include function notation and the variable with respect to which the derivative is taken.
2
State the requested result
dⁿ/dxⁿ
Ask for first, second, partial, or point-specific derivative as needed.
3
Review the rules
f′(x)
Check every product, quotient, and nested-function rule in the worked response.
4
Interpret or verify
f′(a)
Compare with a difference quotient, evaluate a point, or differentiate a known antiderivative.

Tip: ask for a named method, a domain, or a verification step when your course requires one.

f′(x)

Derivative at a point

Find the derivative function first, then evaluate it at the requested input.

m = f′(a)

1Δy / Δx → dy / dx

2m = f′(a)

3f′(x) = dy/dx

4∂f / ∂x

Example

Derivative problems to try

These examples reflect common search intent and can be inserted into the solver as a starting point.

Example 1

Find f'(x) for f(x) = x^4 - 3x^2 + 7

A polynomial first derivative using the power rule term by term.

Example 2

Find the second derivative of e^(2x) sin(x)

A higher-order derivative involving product and chain rules.

Example 3

Find ∂/∂x of x^2 y + e^(xy)

A partial derivative where y is treated as constant.

Common mistakes to watch for

A worked answer is most useful when you know which details are easy to lose along the way.

Not stating the variable

The intended derivative is ambiguous in multivariable expressions.

Evaluating too early

Find the derivative function before substituting the point unless a definition-based method is requested.

Confusing derivative and differential equation

A derivative request finds a rate of change; a differential equation asks for an unknown function.